Metric space topology, as the generalization to abstract spaces of the theory of sets of points on a line or in a plane, unifies many branches of classical analysis and is necessary introduction to functional analysis. Professor Copson's book, which is based on lectures given to third-year undergraduates at the University of St Andrews, provides a more leisurely treatment of metric spaces than is found in books on functional analysis, which are usually written at graduate student level. His presentation is aimed at the applications of the theory to classical algebra and analysis; in particular, the chapter on contraction mappings shows how it provides proof of many of the existence theorems in classical analysis.
| ISBN: | 9780521357326 |
| Publication date: | 11th February 1988 |
| Author: | E T Copson |
| Publisher: | Cambridge University Press |
| Format: | Paperback |
| Pagination: | 152 pages |
| Series: | Cambridge Tracts in Mathematics |
| Genres: |
Probability and statistics |
Metric space topology, as the generalization to abstract spaces of the theory of sets of points on a line or in a plane, unifies many branches of classical analysis and is necessary introduction to functional analysis. Professor Copson's book, which is based on lectures given to third-year undergraduates at the University of St Andrews, provides a more leisurely treatment of metric spaces than is found in books on functional analysis, which are usually written at graduate student level. His presentation is aimed at the applications of the theory to classical algebra and analysis; in particular, the chapter on contraction mappings shows how it provides proof of many of the existence theorems in classical analysis.
Metric Spaces features in the following genres: Probability and statistics
Metric Spaces is available in Paperback, Hardback
Metric Spaces was written by E T Copson and published by Cambridge University Press
Metric Spaces has 152 pages
Yes it is part of Cambridge Tracts in Mathematics series